plotting - Region rotated about the line y=2

Could a few people share the best way to display the image created by rotating the region bounded by $y=x^4$ and $y=1$ about the line $y=2$?

Thanks.

Update: I took JasonB's hint and tried this:

Show[
 RevolutionPlot3D[x^4 - 2, {x, -1, 1}, RevolutionAxis -> {1, 0, 0},
  AxesLabel -> {"x", "z", "y"}],

 RevolutionPlot3D[-1, {x, -1, 1}, RevolutionAxis -> {1, 0, 0}]
 ]

Which gave this image:

How can I change the ticks on the y-axis to run from 0, 1, 2, 3, and 4?

Thanks.

Second Update:

Looks like I found an answer to my tick question.

Manipulate[

 RevolutionPlot3D[{{x^4 - 2}, {1 - 2}}, {x, -1, 1}, {\[Theta], 0, 
   tau}, RevolutionAxis -> "X",
  PlotRange -> {{-1, 1}, {-2, 2}, {-2, 2}},
  AxesLabel -> {"x", "z", "y"},
  PerformanceGoal -> "Quality",
  Ticks -> {Automatic, 
    Automatic, {{-2, 0}, {-1, 1}, {0, 2}, {1, 3}, {2, 4}}}],
 {{tau, 0.1}, 0, 2 \[Pi]}]

Comments

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